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Finding the Fourth Proportional to 505.60, 697.34 and 339.76

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Solution

The fourth proportional to 505.60, 697.34 and 339.76 is: 468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.60 : 697.34 = 339.76 : x
  2. Step 2: Convert to fraction form
    505.60/697.34 = 339.76/x
  3. Step 3: Cross multiply
    505.60x = 697.34 × 339.76
  4. Step 4: Simplify right side
    505.60x = 236,928.24
  5. Step 5: Solve for x
    x = 236,928.24/505.60
  6. Step 6: Final answer
    x = 468.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.